Analysis of xx-mith-te3-00111106-base.sdk
Contents
Original Sudoku
level: medium
position: ..3.56....5718...6.6.3....5.7..6..5..81.3..7....7.........1..98...8..42.7.8...5.3 initial
Autosolve
position: ..3.56....5718...6.6.3....5.7..6..5..81.3..7....7.........1..98...8..42.7.8...5.3 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # G4: 2,3,9 => SOL * DIS # F8: 7,9 => CTR => F8: 3,5 * PRF # I1: 2,4,9 => SOL * CNT 3 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # G4: 2,3,9 => SOL * STA G4: 2,3,9 * CNT 1 HDP CHAINS / 4 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..3.56....5718...6.6.3....5.7..6..5..81.3..7....7.........1..98...8..42.7.8...5.3 | initial |
| ..3.56....5718...6.6.3....5.7..6..5..81.3..7....7.........1..98...8..42.7.8...5.3 | autosolve |
| 123456789457189236869372145274968351681235974935741862342517698516893427798624513 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (7) H2: 3,4 F4: 1,8 F6: 1,8 E8: 7,9 G7: 6,7 I8: 1,7 H9: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F4,F6: 1.. / F4 = 1 => 5 pairs (_) / F6 = 1 => 5 pairs (_) I8,H9: 1.. / I8 = 1 => 11 pairs (_) / H9 = 1 => 0 pairs (*) B9,H9: 1.. / B9 = 1 => 11 pairs (_) / H9 = 1 => 0 pairs (*) G2,H2: 3.. / G2 = 3 => 17 pairs (_) / H2 = 3 => 7 pairs (_) F7,F8: 3.. / F7 = 3 => 11 pairs (_) / F8 = 3 => 18 pairs (_) A4,G4: 3.. / A4 = 3 => 7 pairs (_) / G4 = 3 => 0 pairs (*) H2,H6: 3.. / H2 = 3 => 7 pairs (_) / H6 = 3 => 17 pairs (_) A6,C6: 5.. / A6 = 5 => 7 pairs (_) / C6 = 5 => 8 pairs (_) D5,F5: 5.. / D5 = 5 => 11 pairs (_) / F5 = 5 => 0 pairs (*) D5,D7: 5.. / D5 = 5 => 11 pairs (_) / D7 = 5 => 0 pairs (*) A8,C8: 6.. / A8 = 6 => 11 pairs (_) / C8 = 6 => 7 pairs (_) D7,D9: 6.. / D7 = 6 => 11 pairs (_) / D9 = 6 => 0 pairs (*) G7,H9: 6.. / G7 = 6 => 0 pairs (*) / H9 = 6 => 0 pairs (X) A5,G5: 6.. / A5 = 6 => 0 pairs (*) / G5 = 6 => 0 pairs (X) D7,G7: 6.. / D7 = 6 => 11 pairs (_) / G7 = 6 => 0 pairs (*) D9,H9: 6.. / D9 = 6 => 0 pairs (*) / H9 = 6 => 0 pairs (X) C6,C8: 6.. / C6 = 6 => 11 pairs (_) / C8 = 6 => 7 pairs (_) H6,H9: 6.. / H6 = 6 => 0 pairs (*) / H9 = 6 => 0 pairs (X) E3,F3: 7.. / E3 = 7 => 0 pairs (*) / F3 = 7 => 0 pairs (X) G1,I1: 7.. / G1 = 7 => 0 pairs (*) / I1 = 7 => 0 pairs (X) G7,I8: 7.. / G7 = 7 => 11 pairs (_) / I8 = 7 => 0 pairs (*) F7,G7: 7.. / F7 = 7 => 0 pairs (*) / G7 = 7 => 0 pairs (X) E3,E8: 7.. / E3 = 7 => 0 pairs (*) / E8 = 7 => 0 pairs (X) G1,G7: 7.. / G1 = 7 => 0 pairs (*) / G7 = 7 => 0 pairs (X) I1,I8: 7.. / I1 = 7 => 11 pairs (_) / I8 = 7 => 0 pairs (*) A1,A3: 8.. / A1 = 8 => 8 pairs (_) / A3 = 8 => 9 pairs (_) F4,F6: 8.. / F4 = 8 => 5 pairs (_) / F6 = 8 => 5 pairs (_) F4,G4: 8.. / F4 = 8 => 5 pairs (_) / G4 = 8 => 5 pairs (_) * DURATION: 0:00:09.355912 START: 03:28:36.582711 END: 03:28:45.938623 2025-04-05 * CP COUNT: (28) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E8,F4,F6,G7,H2,H9,I8) * ..3.56....5718...6.6.3....5.7..6..5..81.3..7....7.........1..98...8..42.7.8...5.3 * PAIR H2: 3,4 COL H H6: 3,4,1,6,8 # reduction candidate for 3,4 H6: 3,4 # 17 pairs H6: 1,6,8 # 7 pairs * PAIR F4: 1,8 ROW 4 G4: 1,8,2,3,9 # reduction candidate for 1,8 G4: 2,3,9 => SOLVED * 123456789457189236869372145274968351681235974935741862342517698516893427798624513 G4: 1,8 # 8 pairs * PAIR F6: 1,8 ROW 6 G6: 1,8,2,3,6,9 # reduction candidate for 1,8 G6: 1,8 # 8 pairs H6: 1,8,3,4,6 # reduction candidate for 1,8 H6: 1,8 # 12 pairs * PAIR E8: 7,9 BLK 8 F8: 7,9,3,5 # reduction candidate for 7,9 F8: 7,9 => CTR * ..3.56....5718...6.6.3....5.7..6..5..81.3..7....7.........13798...8..421718...563 F8: 3,5 # 8 pairs * PAIR E8: 7,9 COL E E3: 7,9,2,4 # reduction candidate for 7,9 E3: 2,4 # 12 pairs E3: 7,9 # 10 pairs * PAIR I8: 1,7 COL I I1: 1,7,2,4,9 # reduction candidate for 1,7 I1: 2,4,9 => SOLVED * 123456789457189236869372145274968351681235974935741862342517698516893427798624513 I1: 1,7 # 11 pairs * PAIR H9: 1,6 COL H H6: 1,6,3,4,8 # reduction candidate for 1,6 H6: 3,4,8 # 12 pairs H6: 1,6 # 12 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00111106-base-pr-000.dot * REASONING * PRF # G4: 2,3,9 => SOL * DIS # F8: 7,9 => CTR => F8: 3,5 * PRF # I1: 2,4,9 => SOL * CNT 3 HDP CHAINS / 14 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (E8,F4,F6,G7,H2,H9,I8) * ..3.56....5718...6.6.3....5.7..6..5..81.3..7....7.........1..98...8..42.7.8...5.3 * PAIR H2: 3,4 COL H H6: 3,4,1,6,8 # reduction candidate for 3,4 H6: 3,4 # 17 pairs H6: 1,6,8 # 7 pairs * PAIR F4: 1,8 ROW 4 G4: 1,8,2,3,9 # reduction candidate for 1,8 G4: 2,3,9 => SOLVED * 123456789457189236869372145274968351681235974935741862342517698516893427798624513 * DURATION: 0:00:00.944482 START: 03:28:48.466752 END: 03:28:49.411234 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00111106-base-pr-001.dot * REASONING * PRF # G4: 2,3,9 => SOL * STA G4: 2,3,9 * CNT 1 HDP CHAINS / 4 HYP OPENED
Header Info
rating: 28284; r2: 539309; index: 111106
Solution
position: 123456789457189236869372145274968351681235974935741862342517698516893427798624513 solved
See section Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # H6: 3,4 => UNS * INC # H6: 1,6,8 => UNS * INC # G4: 1,8 => UNS * PRF # G4: 2,3,9 => SOL * INC # G6: 1,8 => UNS * INC # H6: 1,8 => UNS * DIS # F8: 7,9 => CTR => F8: 3,5 * INC # F8: 3,5 => UNS * INC # E3: 7,9 => UNS * INC # E3: 2,4 => UNS * INC # I1: 1,7 => UNS * PRF # I1: 2,4,9 => SOL * INC # H6: 1,6 => UNS * INC # H6: 3,4,8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H6: 3,4 => UNS * INC # H6: 1,6,8 => UNS * INC # G4: 1,8 => UNS * PRF # G4: 2,3,9 => SOL * STA G4: 2,3,9 * CNT 4 HDP CHAINS / 4 HYP OPENED